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J-GLOBAL ID：200901067135034229   Update date: Feb. 01, 2024

Naito Satoshi

ナイトウ サトシ | Naito Satoshi
Affiliation and department：
Tokyo Institute of Technology School of Science

About Tokyo Institute of Technology School of Science


Job title： Professor
Research field  (1)： Algebra
Research keywords  (11)： Path Models ,  Crystal Bases ,  Quantum Groups ,  Algebraic Groups ,  Kac-Moody Algebras ,  Representation Theory ,  Kac-Moody リー環 ,  結晶基底 ,  量子群 ,  代数群 ,  表現論
Research theme for competitive and other funds  (28)：
  • 2021 - 2026 半無限旗多様体の同変 K-群とアフィン量子群のレベル・ゼロ表現の研究
  • 2016 - 2021 Relation between representations at the critical level and those of level zero for affine Lie algebras and semi-infinite flag manifolds
  • 2012 - 2016 Geometric study of quantum groups and associative algebras
  • 2012 - 2016 Geometric realization of the crystal bases of standard modules over quantum affine algebras
  • 2008 - 2012 Realization of the crystal bases of level-zero representations of quantum affine algebras as algebraic cycles
Show all
Papers (41)：
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MISC (20)：
  • Saito Yoshihisa, Sagaki Daisuke, Naito Satoshi. ON TENSOR PRODUCTS OF MIRKOVIC-VILONEN POLYTOPES IN TYPE A (Representation Theory and Combinatorics). RIMS Kokyuroku. 2010. 1689. 61-77
  • 量子アファイン展開環上の extremal ウエイト加群の結晶基底と Littelmann のパス模型. 岩波書店日本数学会編集雑誌「数学」. 2010. 62. 1. 57-84
  • NAITO Satoshi, SAGAKI Daisuke. Mirkovic-Vilonen polytopes lying in a Demazure crystal and an opposite Demazure crystal (Expansion of Combinatorial Representation Theory). RIMS Kokyuroku. 2009. 1647. 19-32
  • SAGAKI Daisuke, NAITO Satoshi. Crystal structure of the set of Lakshmibai-Seshadri paths of an arbitrarylevel-zero shape(The world of Combinatorial Representation Theory). RIMS Kokyuroku. 2006. 1497. 130-139
  • Sagaki Daisuke, Naito Satoshi. Path Model for a Level-Zero Extremal Weight Module over a Quantum Affine Algebra (Combinatorial Aspect of Integrable Systems). RIMS Kokyuroku. 2005. 1429. 12-24
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Lectures and oral presentations  (15)：
  • Description of the Chevalley formula for the torus-equivariant quantum K-group of partial flag manifolds of (co-)minuscule type in terms of the parabolic quantum Bruhat graph
    (RIMS Workshop "Representation Theory of Algebraic Groups and Quantum Groups" 2019)
  • A description of the Z[P]-module structure of the K-theory of the finite-dimensional flag manifold in terms of a generalization of LS paths
    (OCAMI Workshop "Crystals and Their Generalizations" 2019)
  • Chevalley formula in the equivariant K-theory of semi-infinite flag manifolds
    (KIAS Workshop "Quantum K-theory and Related Topics" 2018)
  • Pieri-Chevalley formula in the equivariant K-theory of semi-infinite flag manifolds
    (2018)
  • Pieri-Chevalley formula in the equivariant K-theory of semi-infinite flag manifolds
    (Workshop "Geometry and Representation Theory at the Interface of Lie Algebras and Quivers" 2018)
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Education (1)：
  • 1990 - 1992 Kyoto University
Professional career (1)：
  • Doctor(Science) (Kyoto University)
Work history (5)：
  • 2016/04 - 現在 Tokyo Institute of Technology School of Science Professor
  • 2011/08 - 2016/03 Tokyo Institute of Technology Graduate School of Science and Engineering Professor
  • 2004/04 - 2011/07 University of Tsukuba Graduate School of Pure and Applied Sciences, Mathematics Associate Professor
  • 1995/10 - 2004/03 University of Tsukuba Institute of Mathematics Associate Professor
  • 1992/10 - 1995/09 Shizuoka University Department of Mathematics, Faculty of Science Research Associate
Committee career (1)：
  • 2012/04 - 現在 日本数学会 代数学分科会運営委員
Awards (1)：
  • 2018/03 - 日本数学会 2018 年度日本数学会代数学賞 量子アフィン代数の表現論
Association Membership(s) (3)：
Mathematical Society of Japan ,  Mathematical Society of Japan ,  日本数学会
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